SOLUTION: Tina thompson scored 36 points in a basketball without making any 3 point shots. She scored 23 times making several free throws worth 1 point each and several field goals worth 2

Question 696751:
Tina thompson scored 36 points in a basketball without making any 3 point shots. She scored 23 times making several free throws worth 1 point each and several field goals worth 2 points each. how many free throws did she make?

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
X+Y=23
X=23-Y REPLACE X BY (23-Y) IN THE NEXT EQUATION & SOLVE FOR Y.
1X+2Y=36
(23-Y)+2Y=36
23+Y=36
Y=36-23
Y=13 2 POINT SHOTS WERE MADE.
X+13=23
X=23-13
X=10 FREE THROWS WERE MADE.
PROOF:
1*10+2*13=36
10+26=36
36=36
RELATED QUESTIONS
Sandy Brondello scored 24 points in a recent basketball game without making any 3-point... (answered by ikleyn)

Sandy Brondello scored 24 points in a recent basketball game without making any 3-point... (answered by josgarithmetic,ikleyn,greenestamps)

Any help with this would be greatly appreciated. A basketball player scored 16 times... (answered by josgarithmetic,greenestamps)

a basketball player scored 19 times during one game. She scored a total of 37 points ,two (answered by JBarnum)

A basketball player scored 24 times during one game. She scored a total of 43 points,... (answered by stanbon)

A basketball player scored 24 times during one game, She scored a total of 43 points, two (answered by ptfile)

Last year, John scored 34 points and did not make any 3 point shots. He scored 23 times... (answered by ewatrrr)

One point is scored for each successful shot. So the player can end up with 0 points(by... (answered by longjonsilver)

A basketball player scored 28 points in a game from 2-point and 3-point shots. The player (answered by josgarithmetic,MathTherapy)